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Finding the Fourth Proportional to 3,497.88, 4,827.15 and 1,925.94

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Solution

The fourth proportional to 3,497.88, 4,827.15 and 1,925.94 is: 2,657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.88 : 4,827.15 = 1,925.94 : x
  2. Step 2: Convert to fraction form
    3,497.88/4,827.15 = 1,925.94/x
  3. Step 3: Cross multiply
    3,497.88x = 4,827.15 × 1,925.94
  4. Step 4: Simplify right side
    3,497.88x = 9,296,801.27
  5. Step 5: Solve for x
    x = 9,296,801.27/3,497.88
  6. Step 6: Final answer
    x = 2,657.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.